Q8 / 160 · TS EAMCET 2020 (14 Sep Shift 2) · Chemistry

Equal amount of gases are kept in two separate containers. If densities of the two gases are in $1: 2$ ratio and their temperatures are in $2: 1$ ratio, calculate the ratio of their respective pressures.

  • Correct answer
    A
    1 : 1
  • B
    1 : 2
  • C
    2 : 1
  • D
    4 : 1

Solution

For a gas, density $(d)=\frac{p M}{R T}$ For equal amount of the same gas, $d \propto \frac{p}{T}$ $\Rightarrow \frac{d_2}{d_1}=\frac{p_2}{p_1} \times \frac{T_1}{T_2} \Rightarrow \frac{p_2}{p_1}=\frac{d_2}{d_1} \times \frac{T_2}{T_1}=\frac{2}{1} \times \frac{1}{2}=1: 1$ It should be mentioned in the question to match with option (answer).

Hence, the correct answer is option: 'A'.

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