Question

In: Chemistry

The pressure on a sample of an ideal gas is increased from 715 mmHg to 3.55 atm at constant temperature.

 

The pressure on a sample of an ideal gas is increased from 715 mmHg to 3.55 atm at constant temperature. If the initial volume of the as is 472 mL. what is the final volume of the gas?
 
A 4.00 L sample of gas is cooled from 71 CC to a temperature at which its volume is 2.60 L. What is this new temperature? Assume no change in pressure of the gas.
 
A scuba diver releases a balloon containing 121 L of helium attached to a tray of artifacts at an underwater archaeological site (see photo below). When the balloon reaches the surface, it has expanded to a volume of 333 L. The pressure at the surface is 1.00 atm; what is the pressure at the underwater site? Pressure increases by 1.0 atm for every 10 m of depth; at what depth was the diver working? Assume the temperature remains constant.

Solutions

Expert Solution


Part A) For the first we use,

P1V1 = P2V2

Given are,

P1 = 715 mmHg = 0.941 atm

V1 = 472 mL

P2 = 3.55 atm

V2 = unknown

Thus,

0.941 x 472 = 3.55 x V2

V2 = 125.11 mL

Thus 125.11 mL is the final volume of the gas.

Part B) For the second we use,

V1/T1 = V2/T2

We have,

V1 = 4.00 L

T1 = 71 oC

V2 = 2.60 L

T2 = unknown

Therefore,

4/71 = 2.6/T2

T2 = 46.15 oC

Thus the new temperature is 46.15 oC

Part C) We will use

P1V1 = P2V2

Given are,

P1 = unknown

V1 = 121 L

P2 = 1.0 atm

V2 = 333 L

thus,

121 x P1 = 1 x 333

P1 = 2.75 atm

therefore, the pressure at the underwater level is 2.75 atm

Now,

P = 1 + d/33

feed P value at underwater level,

2.75 = 1 + d/33

d = 57.75 ft = 17.60 m

thus, the dept of diver is 17.60 m


Related Solutions

If 4.71 moles of an ideal gas has a pressure of 3.55 atm, and a volume...
If 4.71 moles of an ideal gas has a pressure of 3.55 atm, and a volume of 26.09 L, what is the temperature of the sample in degrees Celsius?
An ideal gas with 7 degrees of freedom begins at a pressure of 8.5 atm, temperature...
An ideal gas with 7 degrees of freedom begins at a pressure of 8.5 atm, temperature of 25 degrees Celsius and volume of 120L. A) How many moles of gas are there? B) The gas expands isobarically to 200L. What is the new temperature? C) How much work was done in the expansion? D) By how much did the internal energy increase? E) What amount of heat flowed into the gas? G) The gas then depressurizes isochorically to the original...
part a.) A sample of argon gas at a pressure of 1.05 atm and a temperature...
part a.) A sample of argon gas at a pressure of 1.05 atm and a temperature of 21.0 °C, occupies a volume of 11.0 liters. If the gas is allowed to expand at constant temperature to a volume of 15.6 liters, the pressure of the gas sample will be atm. part b.) A sample of xenon gas at a pressure of 0.763 atm and a temperature of 29.9 °C, occupies a volume of 12.9 liters. If the gas is allowed...
1. A sample of nitrogen gas at a pressure of 0.947 atm and a temperature of...
1. A sample of nitrogen gas at a pressure of 0.947 atm and a temperature of 213 °C, occupies a volume of 687 mL. If the gas is cooled at constant pressure until its volume is 570 mL, the temperature of the gas sample will be 2. A helium-filled weather balloon has a volume of 615 L at 23 °C and 754 mm Hg. It is released and rises to an altitude of 7.93 km, where the pressure is 323...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.40 atm ;...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.40 atm ; the volume of the gas changes from 3.20×10-2 m3 to 4.50×10−2 m3 . a. Calculate the initial temperature of the gas. b. Calculate the final temperature of the gas. c. Calculate the amount of work the gas does in expanding. d. Calculate the amount of heat added to the gas. e. Calculate the change in internal energy of the gas.
Three moles of an ideal monatomic gas expand at a constant pressure of 2.10 atm ;...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.10 atm ; the volume of the gas changes from 3.30×10−2 m3 to 4.50×10−2 m3 . a) Calculate the initial temperature of the gas. b) Calculate the final temperature of the gas. c) Calculate the amount of work the gas does in expanding. d) Calculate the amount of heat added to the gas. e) Calculate the change in internal energy of the gas
A sample of a gas at an initial pressure of 1.0 ATM is expanded at constant...
A sample of a gas at an initial pressure of 1.0 ATM is expanded at constant temp from 10.L to 15L. Calculate the final pressure of the gas
A 5.00 L N2 gas sample at a pressure of 1.20 atm and temperature of 15.8ºC...
A 5.00 L N2 gas sample at a pressure of 1.20 atm and temperature of 15.8ºC has a mass of 7.08 g. What is the mass of a 10.0 L H2 gas sample at the same temperature and pressure as the N2 gas sample? (a) How many moles of N2 gas are in the sample? (b) How many moles of H2 gas are in the sample? (c) At a given temperature and pressure, 5.00 L of N2 are reacted with...
An ideal gas expands isobarically (constant pressure) from point A to point B. The gas is...
An ideal gas expands isobarically (constant pressure) from point A to point B. The gas is compressed isothermally (constant temperature) from point B to C. Finally, the gas goes through an isochoric (constant volume) process until it returns to point A. Given: Volume at point A = Volume at point C = 0.004 m3, Volume at point B = 0.008 m3, Pressure at point A = Pressure at point B = 1,000,000 Pa, Temperature at point A = 600 K....
Gas is confined in a tank at a pressure of 11.5 atm and a temperature of...
Gas is confined in a tank at a pressure of 11.5 atm and a temperature of 22.0°C. If two-thirds of the gas is withdrawn and the temperature is raised to 60.0°C, what is the pressure of the gas remaining in the tank?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT