Suppose that a 100 mL sample of ideal gas is held in a piston-cylinder apparatus

Question

Suppose that a 100 mL sample of ideal gas is held in a piston-cylinder apparatus. Its volume could be increased to 200 mL by a increasing the temperature from 25 degree C to 50 degree C at constant pressure. b. increasing the pressure from 1.00 atm to 2.00 atm at constant temperature. c. reducing the temperature from 400K to 200 K d. reducing the pressure from 760 torr to 600 torr while increasing the temperature from 25 degree C to 100 degree C e. reducing the pressure from 608 torr to 0.40 atm at constant temperature.

Explanation / Answer

Boyle's law states that, when a gas is held at a constant temperature and mass in a closed container, the volume and pressure vary inversely.

The equation to use is P1V1=P2V2.

We have, V1= 100 mL = 0.1 L

V2= 200 mL = 0.2 L

P1= 608 torr = 0.8 atm

P2= 0.4 atm

So, P1V1=P2V2

0.8*0.1 = 0.4*0.2

LHS=RHS

Hence, the statement (e) is correct

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