The density of a certain gas at 30 ^ 0 C and 768 torr is 1. 35kg /...

The density of a certain gas at

{30}^{0}C

and

768

torr is

1. 35kg / m^{3}

, then density of the gas at

STP

Options

A $1. 48kg / m^{3}$
B $1. 27kg / m^{3}$
C $1. 35kg / m^{3}$
D $1. 00kg / m^{3}$

Correct answer

A. $1. 48kg / m^{3}$

Step-by-step solution

Using $PM = dRT$

$\dfrac{{P}_{1}M}{{P}_{2}M} = \dfrac{{d}_{1}{RT}_{1}}{{d}_{2}{RT}_{2}}\dfrac{768}{760} = \dfrac{1. 35 \times 303}{{d}_{2} \times 273}{d}_{2} = \dfrac{1. 35 \times 303 \times 760}{273 \times 768}{d}_{2} = 1. 48kg / m^{3}$

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