Answer:
d) 1.33
Explanation:
For an adiabatic process, the relationship between pressure (P) and temperature (T) can be expressed as:
P is proportional to T cubed.
According to the relationship between pressure (P) and temperature (T) in an adiabatic process:
P V raised to the power of γ = constant
Where γ is the ratio of specific heats (also denoted as γ = C sub p / C sub v).
From the given information, since P is proportional to T cubed, we can write:
P = kT cubed
Where k is a constant.
P divided by T squared = kT squared
P divided by T squared = kT
Comparing with P V raised to the power of γ = constant, we see that:
γ equals P divided by T squared equals 2
Thus, the ratio of specific heats for the gas is 1.33.
