Question

If the pressure of a 2. 00 L sample of gas is 50. 0 kPa, what pressure does the gas exert if its volume is decreased to 20. 0 mL? Which equation should you use? StartFraction V subscript 1 over T subscript 1 EndFraction equals StartFraction V subscript 2 over T subscript 2 EndFraction. P subscript 1 V subscript 1 equals P subscript 2 V subscript 2. StartFraction V subscript 1 over n subscript 1 EndFraction equals StartFraction V subscript 2 over n subscript 2 EndFraction.

Answer 1

The equation used for the calculation is P subscript 1 V subscript 1 equals P subscript 2 V subscript 2. Thus, option B is correct.

The pressure of the gas with respect to volume is given with inverse proportion. The ideal gas equation is given as:

$PV=nRT$

Equation for relation between volume and pressure

The initial pressure of the gas has been given as, $P_1=50\;\rm kPa$

The initial volume of the gas has been, $V_1=2\;\rm L$

The final volume of the gas has been, $V_2=0.02\;\rm L$

The final pressure of the gas, $P_2$ is given as:

$P_1V_1=P_2V_2\\\\P_2=\dfrac{P_1V_1}{V_2}$

Thus, the equation used for the calculation is P subscript 1 V subscript 1 equals P subscript 2 V subscript 2. Thus, option B is correct.

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