Question

The cylinder contains 100 gm of an ideal gas (mol. wt. = 40 gm/mol) at 27°C and 2 atm. pressure. In transportation the cylinder fell and a dent was created. The valve present cannot keep the pressure greater than 2 atm. Hence 10 gm of a gas got leaked out. The volume of the container before and after dent is-

• A. 30.8 L ; 27.7 L
• B. 27.7 L ; 30.8 L
• C. 30.8 L ; 30.8 L
• D. 27.7 L ; 27.7 L

Answer 1

Answer: (A)

30.8 L ; 27.7 L

Answer 2

Before dent vol. of gas = $\frac{nRT}{P}$

= $\frac{100}{40}$ × $\frac{0.082 \times 300}{2}$ = 30.75 L

After dent vol. of gas = $\frac{nRT}{P}$

= $\frac{90}{40}$ × $\frac{0.082 \times 300}{2}$ = 27.675 L