An ideal gas is contained in a cylinder at pressure p1 and temperature T1. The initial moles of the gas is n1. The gas leaks from the cylinder and attains a final pressure p2 and temperature T2. The new moles of the gas present in the cylinder is

Question

An ideal gas is contained in a cylinder at pressure p1 and temperature T1. The initial moles of the gas is n1. The gas leaks from the cylinder and attains a final pressure p2 and temperature T2. The new moles of the gas present in the cylinder is (A) (p2 T1/p1 n1 T2) (B) (n1 T2 p2/T1 p1) (C) (n1 T1 p2/T2 p1) (D) Data insufficient

Tardigrade Admin · Accepted Answer

According to ideal gas equation, p V=n R T where, R= gas constant. Since, moles are changing but volume is constant. Eq. (i) can be written as (p/n T)=(R/V)= constant ⇒ (p1/n1 T1)=(p2/n2 T2) ⇒ n2=(n1 T1 p2/T2 p1) where, p1, p2 are the initial and final pressure of gas and T1 and T2 are initial and final temperature of gas.

Q. An ideal gas is contained in a cylinder at pressure $p_{1}$ and temperature $T_{1}$ . The initial moles of the gas is $n_{1}$ . The gas leaks from the cylinder and attains a final pressure $p_{2}$ and temperature $T_{2}$ . The new moles of the gas present in the cylinder is

$\frac{p _{2} T _{1}}{p _{1} n _{1} T _{2}}$

$\frac{n _{1} T _{2} p _{2}}{T _{1} p _{1}}$

$\frac{n _{1} T _{1} p _{2}}{T _{2} p _{1}}$

Data insufficient

Q. An ideal gas is contained in a cylinder at pressure p1​ and temperature T1​. The initial moles of the gas is n1​. The gas leaks from the cylinder and attains a final pressure p2​ and temperature T2​. The new moles of the gas present in the cylinder is

p1​n1​T2​p2​T1​​

T1​p1​n1​T2​p2​​

T2​p1​n1​T1​p2​​

Data insufficient

Q. An ideal gas is contained in a cylinder at pressure $p_{1}$ and temperature $T_{1}$ . The initial moles of the gas is $n_{1}$ . The gas leaks from the cylinder and attains a final pressure $p_{2}$ and temperature $T_{2}$ . The new moles of the gas present in the cylinder is

$\frac{p _{2} T _{1}}{p _{1} n _{1} T _{2}}$

$\frac{n _{1} T _{2} p _{2}}{T _{1} p _{1}}$

$\frac{n _{1} T _{1} p _{2}}{T _{2} p _{1}}$