Question

Read the Paragraph carefully and answer the following questions:

100 g of an ideal $\left(mol.wt.=40\right)$ gas is present in a cylinder at ${27}^{0}cand2atm$ pressure. During transportation, cylinder fell and a dent was developed in the cylinder. The valve attached to cylinder cannot keep the pressure greater than $2atm$ and therefore ${}^{\prime }10g^{\prime }$ of gas leaked-out through cylinder.

The volume of the cylinder before a dent was:

• A. $10.79litre$
• B. $20.79litre$
• C. $30.79litre$
• D. $40.79litre$

Answer 1

Answer: (C)

$30.79litre$

Initial volume can be calculated:

$PV=nRT$

$V_1=\left(\frac{100}{40}\right)\left(\frac{0.0821\times 300}{2}\right)=30.79d{m}^3$