Question

In: Physics

Consider the 500-Watt heat source in the previous problem. Assuming that at launch the 500-Watt source...

Consider the 500-Watt heat source in the previous problem. Assuming that at launch the 500-Watt source was pure plutonium 238, what was the mass of the plutonium 238 at launch (closest answer in kg)? The alpha particles emitted by the plutonium have energy 5.6 MeV.

(Previous Problem: Plutonium 238 is used as a heat source to generate electricity in space probes. It is an alpha-emitter with a half life of 88 years. If the plutonium heat source on a probe produces 500 Watts of power when it is launched, how much is it producing 28 years after launch)

Solutions

Expert Solution

500 Watt source means , it produce 500 J per sec at launch.

1 alpha particle has 5.6 * 106 eV = 5.6* 106 *1.6022 * 10-19 J =8.9722 *10-13 J

To produce 500 watt ,no. of alpha particles produced in 1 sec= 500/8.9722 *10-13

=55.727*1013

no. of alpha particles produced in 1 sec = no. of plutonium atom decayed in 1 sec

and   

at t=1 sec  

no. of plutonium atom decayed in 1 sec=

= ==55.727*1013

Mass in grams =3.7 * 238 =880.6 g

Mass in kg =0.88 kg


Related Solutions

Consider a residential heat pump that uses lake water as the heat source in the winter...
Consider a residential heat pump that uses lake water as the heat source in the winter and as heat sink inthe summer. The house is to maintained at a winter temperature of T= 18 degrees C and a summer temperature of T= 25 degrees C. To do this efficiently, it is found that the indoor coil should be at T= 50 degrees C in the winter and T= 5 degrees C in the summer. The outdoor coil temperature can be...
Using the portfolio and hedge ratio from the previous question, and assuming the S&P 500 intitial...
Using the portfolio and hedge ratio from the previous question, and assuming the S&P 500 intitial value is 3109.55. What is our portfolio value if the market drops 6%? What is the change in value of our puts? What is our total profit or loss?
Question 10a. Consider again the file MyNotes.txt from the previous questions. Assuming that users who are...
Question 10a. Consider again the file MyNotes.txt from the previous questions. Assuming that users who are neither Bob nor members of the personnel group should have no access to the file, which octal code would you use with chmod to set the permissions on the file for all users? Select one: a. 665 b. 664 c. 110 d. o+0 e. 660 f. 770 g. o-0 h. 550 i. o=7 j. 764 k. 655 l. o=0 m. 755 n. 760 Part...
Consider the transfer of 10kJ of heat between thermal reservoirs at 500 and 400K. (a) Determine...
Consider the transfer of 10kJ of heat between thermal reservoirs at 500 and 400K. (a) Determine the magnitude, in kilojoules, and the direction of the availability transfer for two reservoirs. (b) Now, consider the transfer of 10 kJ of heat between thermal reservoirs at 280 and 250K. Determine the magnitude and direction of the availability transfers for these two reservoirs. (c) Compare the direction of heat transfer versus availability transfer for the two processes. The environmental temperature is 298K.
Consider the linear program given below (almost the same as the previous problem - the only...
Consider the linear program given below (almost the same as the previous problem - the only difference is that the right hand side of the first constraint has been increased from 10 to 11): Decision variables: A, B, C, and D Objective: maximize 3 A + 5 B + C +2 D Constraints: A + B + C + D <= 11 A – B = 0 A + B – C – D <= 0 Solve it using Excel....
Consider a distributed variant of the attack in the previous problem. Assume the attacker has compromised...
Consider a distributed variant of the attack in the previous problem. Assume the attacker has compromised a number of broadband-connected residential PCs to use as zombie systems. Also assume each such system has an average uplink capacity of 512 kbps. * a. What is the maximum number of 500-byte ICMP echo request (ping) packets a single zombie PC can send per second? * b. How many such zombie systems would the attacker need to flood a target organization using a...
Consider the problem of carbon dioxide emissions. We will abstract away from the problem slightly, assuming...
Consider the problem of carbon dioxide emissions. We will abstract away from the problem slightly, assuming there are pollutions and consumer in two regions, the OECD (O) and the rest of the world (R). Suppose the marginal cost of controlling CO2 emissions is $10 per ton of emissions. Let the marginal willingness to pay for pollution reduction be 13-Q for region O and 12-2Q for region R, where Q is the amount of pollution reduction. The United Nations is considering...
6.  Consider the monopoly firm of the previous problem with the cost function TC=4Q2. Assume that in...
6.  Consider the monopoly firm of the previous problem with the cost function TC=4Q2. Assume that in addition to facing the aforementioned domestic demand curve P=300-2Q, the company can also sell any quantity of its product in a foreign market at a constant price of $240 (independent of quantity). Determine (i) the company’s optimal sales (quantity of product sold) in domestic and foreign markets, (ii) price at which the company will sell the product in domestic market. (iii) Determine the company’s...
A heat engine operates between a source and a sink. The source temperatures vary from 300...
A heat engine operates between a source and a sink. The source temperatures vary from 300 to 1000°C. Heat is supplied to the heat engine at a steady rate of 1200 kJ/min. Using Matlab or Excel (or other) software, study the effects of the temperatures of the heat source and the heat sink on the maximum power produced and the cycle thermal efficiency. Plot the power produced and the cycle efficiency against the source temperature for sink temperatures of 0°C,...
A heat engine operates by extracting 2,000 KJ of heat from a source at 1500 K,...
A heat engine operates by extracting 2,000 KJ of heat from a source at 1500 K, and dumping 800 of waste heat into a sink at 300 K. a) Does this engine violate any known laws of thermodynamics? b) How much work does this engine produce? c) What are the first and second law efficiencies?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT