Question

A sample of neon gas is contained by a closed 5-liter vessel. The temperature of container is 25${}^o$C and pressure is 1.5 atmospheres (R is equal to 0.08 L atm/mol K).
Find the expressions which is equal to the molar quantity of gas in the sample?

• A. $\frac{\left(1.5\right)\left(5.0\right)}{\left(0.08\right)\left(25\right)}$
• B. $\frac{\left(0.08\right)\left(25\right)}{\left(1.5\right)\left(5.0\right)}$
• C. $\frac{\left(1.5\right)\left(25\right)}{\left(0.08\right)\left(5.0\right)}$
• D. $\frac{\left(0.08\right)\left(298\right)}{\left(1.5\right)\left(5.0\right)}$
• E. $\frac{\left(1.5\right)\left(5.0\right)}{\left(0.08\right)\left(298\right)}$

Answer 1

The correct option is E $\frac{\left(1.5\right)\left(5.0\right)}{\left(0.08\right)\left(298\right)}$

The number of moles, $n=\frac{PV}{RT}=\frac{1.5\times 5.0}{0.08\times 298}$.
Hence, the expressions which is equal to the molar quantity of gas in the sample is $\frac{1.5\times 5.0}{0.08\times 298}$.