Question

The pressure exerted on a sample of a fixed amount of gas is doubled at constant temperature, and then the temperature of the gas in kelvins is half at constant pressure. What is the final volume of the gas? The final volume of the gas is one-half the initial volume. The final volume is twice the initial volume. The final volume of the gas is the same as the initial volume The final volume of the gas is one-fourth the initial volume. The final volume of the gas is four times the initial volume.

Answer 1

Initially at constant temperature ,

By Boyle's law we have

P1V1 = P2V2

and final pressure is doubled in this case

so , P1V1 = 2P1V2

V1 = 2V2

when at this volume of gas , temperature is getting half at constant pressure it means ,

by Charles law ,

T $\alpha$ V

so, T3/V3= T4/V4

so , 2T3 / V1 = T3/2V4

wherr V4 is the final volume of gas

so, V4 = V1 / 4

i e volume is getting 1/4 of initial

so Correct option is

The final volume of the gas is one - fourth the initial volume