If the volume of a given mass of a gas at 0 c i... - JAMB Chemistry 2022 Question
If the volume of a given mass of a gas at 0ºc is 29.5cm\(^3\). What will be the volume of the gas at 15ºc, given that the pressure remains constant?
A
31.6
B
62.2
C
32.7
D
31.1
correct option: d
Charles' law states that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature if the pressure remains constant.
Given that:
V\(_1\) = 29.5cm\(^3\)
V\(_2\) = ?
T\(_1\) = 0ºc or 273k
T\(_2\) = 15ºc or 288k
\(\frac{V_1}{T_1}\) = \(\frac{V_2}{T_2}\)
V\(_2\) = \(\frac{V_1 x T_2}{T_1}\)
=> \(\frac{29.5 x 288}{273}\)
V\(_2\) = 31.1cm\(^3\)
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