Question

A closed hollow insulated cylinder is filled with gas at 0°C and also contains an insulated piston of negligible weight and negligible thickness at the middle point.The gas on one side of the piston is heated to 100°C If the piston moves 5cm, the length of the hollow cylinder is​

Answer 1

Answer:

Ideal gas law states that, for a gas with the number of moles be n, at temperature T and having pressure P and volume V, Using ideal gas law, PV=nRT

.

The piston is at the middle point of the container. One side of the gas is at 00C

and the other is at 100 0C

.

PVT=nR

, constant for gas in both sections of the cylinder.

For section with constant temperature, P1V1=P2V2

⇒P1A×L2=P2A×(L2−5)

--------(1)

Now, for the section whose temperature has been increased, using (1)

P1A×L2273=P1A×(L2−5)373L=64.6cm