Answer to Question #125081 in Physics for Raph

Question #125081
A mass of a gas occupies 20 cm^3 at 5 degree celcius and 760 mm Hg pressure, what is its approximate volume at 30 degree celcius and 800 mm Hg pressure?
1
Expert's answer
2020-07-03T10:00:55-0400

According to the general gas equation, the volume VV, temperature TT and pressure PP of the ideal gas are connected in the following way:


PVT=const\dfrac{PV}{T} = const

Thus, denoting with the index 1 parameters for the initial state and with the index 2 parameters for the final state, obtain:

P1V1T1=P2V2T2\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}

Expressing the final volume from this equation, get:


V2=P1V1T2P2T1V_2 = \dfrac{P_1V_1T_2}{P_2T_1}

Substituting the numerical value (and converting the temperature to kelvin), get:


V2=76020(273+5)800(273+30)17.4cm3V_2 = \dfrac{760\cdot 20\cdot (273+5)}{800\cdot (273+30)} \approx 17.4 cm^3

Answer. 17.4 cm^3.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment