A. The temperature of gas Y is 2 times the temperature of gas X.
Ideal gas equation
The ideal gas equation is formulated as: PV = nRT.
In this equation we defined the parameters as follows;
- P refers to the pressure of the ideal gas,
- V is the volume of the ideal gas,
- n is the total amount of ideal gas that is measured in terms of moles,
- R is the universal gas constant, and
- T is the temperature
number of moles of gas X = 1
volume of gas X = 1/4Y
Pressure of gas X = 2Y
temperature of X = ?
number of moles of gas Y = 2
volume of gas Y = 4X
Pressure of gas Y = ¹/₂X
temperature of Y = ?
R = PV/nT
PV/nT ( gas Y) = PV/nT (gas X)
(¹/₂X . 4X)/(2 . TY) = (2Y . 1/4Y) / (1 . TX)
(X)/Ty = (Y/2Tx)
Ty(Y) = 2TX(X)
TY = 2TX
Thus, the temperature of gas Y is 2 times the temperature of gas X.
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