Question

An ideal gas with a fixed number of molecules is maintained at a constant pressure. At 28 °C, the volume of the gas is 1.50 m3. What is the volume of the gas when the temperature increases to 75.0°C?

Answer 1

Answer:
`1.73 m^3`

Step-by-step explanation:

Given

Initial Temperature
`T_1=28^(\circ)C\approx 301 K`

Initial Volume
`V_1=1.5 m^3`

Pressure is constant P=c

Final Temperature
`T_f=75^(\circ)C\approx 348 K`

as Pressure is constant therefore

PV=nRT

i.e.

`(V_1)/(T_1)=(V_2)/(T_2)`

`(1.5)/(301)=(V_2)/(348)`

`V_2=1.73 m^3`