Question

15. A sample of hydrogen has a A sample of hydrogen has a volume of 51 under the

pressure of 5atm what will be the pressure of this
gas
be if
the volume were reduced to 51.
A. 25atm B. 15 atm C. 10 atm D. 5atm

Answer 1

A

Step-by-step explanation:

Correct option is A)

We know that pressure of a gas is inversely proportional to its volume (Boyle's Law). So, one of the gas equations can be written as-

P 1 V 1 =P 2 V 2 , where P 1 and V 1 are the initial conditions of pressure and v olume of a gas. And P 2 and V 2 are the final conditions of pressure and volume of the gas. In the question given, P 1 is 5atm. The value of V 1 IS 25L. The final pressure is unknown and let it be P 2 , whereas, the final volume is reduced to 5L. Putting all these values in the above mentioned equation we get, P 1 V 1 =P 2 V 2 Or, 5×5=P 2 ×5 Or P 2 = 5 125 P 2 = 25 atm.