Question
A flask of capacity $$2\,L$$ is heated from $${35^ \circ }C$$ to $${45^ \circ }C.$$ What volume of air will escape from the flask ?
A.
10$$\,mL$$
B.
20$$\,mL$$
C.
60$$\,mL$$
D.
50$$\,mL$$
Answer :
60$$\,mL$$
Solution :
$$\frac{{{V_1}}}{{{T_1}}} = \frac{{{V_2}}}{{{T_2}}};{V_1} = 2\,L,$$ $${T_1} = 35 + 273 = 308\,K$$
$${V_2} = ?,{T_2} = 45 + 273 = 318\,K;$$ $${V_2} = \frac{2}{{308}} \times 318 = 2.06\,L$$
$${\text{Capacity of flask}} = 2\,L$$
$${\text{Volume of air escaped}}$$ $$ = 2.06 - 2 = 0.06\,L\,\,{\text{or}}\,\,60\,mL$$