Question

A quantity of an ideal gas is collected in a graduated tube over the mercury in a barometer type arrangement. the volume of gas at 20°c is 50ml and the level of mercury is 100mm above the outside of the mercury level. the atmospheric pressure is 750mm. the volume of gas at stp is

Answer 1

Answer:

6.67

Explanation:

p1 v1/ t1=p2 v2/t2

100 *50/273=750*v2/273

v2=6.67

Answer 2

The volume of gas at STP is, 45.9 L

Explanation:

To calculate the volume when temperature and pressure has changed, we use the equation given by combined gas law.

The equation follows:

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1,V_1\text{ and }T_1$ are the initial pressure, volume and temperature of the gas

$P_2,V_2\text{ and }T_2$ are the final pressure, volume and temperature of the gas

We are given:

$P_1=750mmHg\\V_1=50mL\\T_1=20^oC=[20+273]K=293K\\P_2=760mmHg\\V_2=?\\T_2=273K$

Putting values in above equation, we get:

$\frac{750mmHg\times 50mL}{293K}=\frac{760mmHg\times V_2}{273K}\\\\V_2=45.9L$

Therefore, the volume of gas at STP is, 45.9 L

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