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Multiple Choice
During an ice age, how would the ratio of pressure to temperature (P/T) of an ideal gas change, assuming volume and the amount of gas remain constant?
A
The ratio P/T would increase.
B
The ratio P/T would fluctuate randomly.
C
The ratio P/T would decrease.
D
The ratio P/T would remain constant.
Verified step by step guidance
1
Start by recalling the Ideal Gas Law, which is expressed as: , where P is pressure, V is volume, n is the amount of gas, R is the ideal gas constant, and T is temperature.
Since the problem states that the volume (V) and the amount of gas (n) remain constant, we can rearrange the Ideal Gas Law to focus on the relationship between pressure (P) and temperature (T): .
From the rearranged equation, we can see that the ratio of pressure to temperature (P/T) is directly proportional to the constant . Therefore, .
During an ice age, the temperature (T) would decrease. Since the ratio is inversely proportional to temperature, a decrease in T would lead to a decrease in the ratio .
Thus, the correct conclusion is that the ratio of pressure to temperature (P/T) would decrease during an ice age, assuming volume and the amount of gas remain constant.