Question

If the pressure of gas is doubled and its absolute temperature is quadrupled, the volume is what factor times the original?

a. 2

b. 1/2

c. 1/4

d. 4

Answer 1

Volume will increase by factor 2

So option (A) will be correct answer

Step-by-step explanation:

Let initially the volume is V pressure is P and temperature is T

According to ideal gas equation
`PV=nRT`, here n is number of moles and R is gas constant

So
`V=(nRT)/(P)`....................eqn 1

Now pressure is doubled and temperature is quadrupled

So new volume
`V_(new)=(nR4T)/(2P)=(2nRT)/(P)` ........eqn 2

Now comparing eqn 1 nad eqn 2

`V_(new)=2V`

So volume will increase by factor 2

So option (A) will be correct answer