Question

A sample of an ideal gas has a volume of 2.24 L

at 278 K
and 1.14 atm.
Calculate the pressure when the volume is 1.69 L
and the temperature is 307 K.

Answer 1

1.67 atm

Step-by-step explanation:

Given a volume of 2.24 L at a pressure of 1.14 atm and a temperature of 278 K, you want the pressure when the volume is 1.69 L and the temperature is 307 K.

Ideal gas

The ratio PV/T is a constant for a given quantity of gas. This means ...

P(1.69 L)/(307 K) = (1.14 atm)(2.24 L)/(278 K)

P = 1.14(2.24/278)(307/1.69) ≈ 1.67 atm

The pressure at the new volume and temperature is about 1.67 atm.