Boyle's Law states that when a sample of gas is compressed at a constant temperature, the...

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm3 , the pressure is 160 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?

---
Step 1: Write all the rates in the problem (including the one you are trying to find) as
derivatives.

---
Step 2: Identify the dependent variables in the derivatives. Find an equation relating
the dependent variables in the derivatives. You will often need a formula from
geometry for this.

----
Step 3: Differentiate both sides of the equation from Step 2 with respect to the
independent variable time. The result will be an equation relating the rates (relating the
derivatives).

--
Step 4: Substitute the values that you are given in the problem for the derivatives and
the variables and solve for the derivative for which the question is asking.

---

Thanks for any help!!!

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the...

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 100 cm3, the pressure is 160 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?

What does Boyle's law state about pressure and volume at a constant temperature and a constant...

What does Boyle's law state about pressure and volume at a constant temperature and a constant pressure? Pressure and volume will both increase together or both decrease together. Pressure and volume will both increase as temperature and pressure increase. Pressure increases when volume decreases. Pressure and volume will both decrease as temperature and pressure decrease.

two moles of a monatomic ideal gas are compressed in a cylinder at a constant temperature...

two moles of a monatomic ideal gas are compressed in a cylinder at a constant temperature of 85 c until the original pressure has tripled? a)what is the work done on the gas? b)How much heat is transfered out of the gas? A monatomic ideal gas in a cylinder is held at a constant temperature 230kpa and is cooled and compressed from 1.7 to 1.2 a) what is the internal energy of the gas? b)How much heat is transferred out...

What is the ideal gas law constant?

What is the ideal gas law constant?please give details.

air at a temperature of 500c id compressed at a constant pressure of 1.2mpa from a...

air at a temperature of 500c id compressed at a constant pressure of 1.2mpa from a volume of 2cu meters to volume of 0.4 cu meters. If the initial internal energy decrease 4820kj find a. The work done during the reversible process b. The heat transfered c. The change of enthalpy.

a sample of krypton gas occupies 95.0 mL at .500 atm. If the temperature remained constant...

a sample of krypton gas occupies 95.0 mL at .500 atm. If the temperature remained constant what volume the krypton occupy at 5.00 atm, .05000 atm, 555 torr, 5.00 torr and 5X5 10 to the negative 2 torr

A 1.5-mole sample of an ideal gas is gently cooled at constant temperature 320 K. It...

A 1.5-mole sample of an ideal gas is gently cooled at constant temperature 320 K. It contracts from initial volume 19 L to final volume V2. A total of 1.2 kJ of heat is removed from the gas during the contraction process. What is V2? Let the ideal-gas constant R = 8.314 J/(mol • K). 14 L 10 L 12 L 16 L

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...

11. A gas in a piston-cylinder device is compressed, and as a result its temperature rises....

11. A gas in a piston-cylinder device is compressed, and as a result its temperature rises. Is this a heat or work interaction?

A gas is compressed at a constant pressure of 0.800 atm from 9.00 L to 2.00...

A gas is compressed at a constant pressure of 0.800 atm from 9.00 L to 2.00 L. In the process, 350 J of energy leaves the gas by heat. (a) What is the work done on the gas? J (b) What is the change in its internal energy? J

Subjects