Question

If both the pressure and volume of a given sample of an ideal gas are doubled, what happens to the temperature of the gas in Kelvins

Answer 1

Answer: Four times

Step-by-step explanation:

Given

If Pressure and Volume is double

For ideal gas

PV=nRT

where P=Pressure

V=volume

n=no of moles

R=gas constant

T=temperature

Initially

PV=nRT......(i)

after doubling

(2P)(2V)=nRT'.......(ii)

divide (i) and (ii)

`(PV)/(4PV)=(nRT)/(nRT')\\T'=4T`

So, Temperature becomes 4 times