Question

At a temperature of 280k, the gas in a cylinder has a volume of 20.0 liters.

If the volume of the gas is decreased to 10.0 liters, what must the temperature be for the gas to remain at a constant pressure?

Answer 1

Temperature should be 140k to maintain constant pressure

Answer 2

T = 140 K

Step-by-step explanation:

As we know by ideal gas law

`PV = nRT`

now if pressure of the gas is constant

then we will have

`V = (nR)/(P) T`

now we have

`V_1 = 20.0 litre`

`T_1 = 280 K`

`V_2 = 10.0 litre`

now from above equation

`(20.0)/(10.0) = (280)/(T)`

`T = 140 K`