A gas is present in a cylinder fitted with movable piston. Above and below the piston there is equal number of moles of gas. The volume above is two times the volume below at a temperature of 300 K . At what temperature will the volume above be four times the volume below-

Question

A gas is present in a cylinder fitted with movable piston. Above and below the piston there is equal number of moles of gas. The volume above is two times the volume below at a temperature of 300 K . At what temperature will the volume above be four times the volume below- (A) 600 K (B) 400 K (C) 200 K (D) 120 K

Tardigrade Admin · Accepted Answer

Let pressure given by piston=P0 PA+P0=PB or P0=PB- PA or P0=(n R × 300/V / 3) - (n R × 300/2 V / 3) Let the final temperature=T Solution

PBâ²=P0+PAâ² or P0=PBâ²-PAâ² or P0=(n R T/V / 5)- (n R T/4 V / 5) ∴ (n R T × 5/V) × (3/4)=(n R × 300/V) × 3 × (1/2) or T × (15/4)=300 × (3/2) or T=(4/15) × 300 × (3/2)=120 K

Q. A gas is present in a cylinder fitted with movable piston. Above and below the piston there is equal number of moles of gas. The volume above is two times the volume below at a temperature of $300 K$ . At what temperature will the volume above be four times the volume below-

$600 K$

$400 K$

$200 K$

$120 K$

Q. A gas is present in a cylinder fitted with movable piston. Above and below the piston there is equal number of moles of gas. The volume above is two times the volume below at a temperature of 300K . At what temperature will the volume above be four times the volume below-

600K

400K

200K

120K

Q. A gas is present in a cylinder fitted with movable piston. Above and below the piston there is equal number of moles of gas. The volume above is two times the volume below at a temperature of $300 K$ . At what temperature will the volume above be four times the volume below-

$600 K$

$400 K$

$200 K$

$120 K$