Two containers of equal volume contain the same gas at pressures ${\mathrm{P}}_{1}$ and ${\mathrm{P}}_{2}$ and absolute temperatures ${\mathrm{T}}_{1}$ and ${\mathrm{T}}_{2}$ respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T. The ratio P/T is equal to

1. $\frac{{\mathrm{P}}_{1}}{{\mathrm{T}}_{1}}+\frac{{\mathrm{P}}_{2}}{{\mathrm{T}}_{2}}$

2. $\frac{{\mathrm{P}}_{1}{\mathrm{T}}_{1}+{\mathrm{P}}_{2}{\mathrm{T}}_{2}}{{\left({\mathrm{T}}_{1}+{\mathrm{T}}_{2}\right)}^{2}}$

3. $\frac{{\mathrm{P}}_{1}{\mathrm{T}}_{2}+{\mathrm{P}}_{2}{\mathrm{T}}_{1}}{{\left({\mathrm{T}}_{1}+{\mathrm{T}}_{2}\right)}^{2}}$

4. $\frac{{\mathrm{P}}_{1}}{2{\mathrm{T}}_{1}}+\frac{{\mathrm{P}}_{2}}{2{\mathrm{T}}_{2}}$

Difficulty Level:

• 12%
• 39%
• 16%
• 35%