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Consider a sample of gas in a container on a comfortable spring day. The Celsius temperature suddenly doubles, and you transfer the gas to a container with twice the volume of the first container. If the original pressure was 12 atm, what is a good estimate for the new pressure?

A) 3 atm
B) 6.4 atm
C) 12atm
D) 15atm
E)5.5 atm

1 Answer

3 votes

Final answer:

The new pressure is estimated to be 6 atm. Celsius-Kelvin conversion: doubling temperature equals 273.15 K; Boyle's Law: halved volume, pressure becomes 6 atm (Option B).

Step-by-step explanation:

When the Celsius temperature doubles, it is equivalent to a change in temperature of 273.15 degrees Kelvin because the two scales have a difference of 273.15.

When the gas is transferred to a container with twice the volume, the pressure is halved according to Boyle's Law.

Therefore, since the original pressure was 12 atm, the new pressure would be 6 atm. Therefore, a good estimate for the new pressure is 6 atm (option B).

The relationship between Celsius and Kelvin temperatures involves a fixed offset of 273.15, as the Kelvin scale starts at absolute zero. When Celsius temperature doubles, it reflects a change of 273.15 K on the Kelvin scale. This fundamental conversion is vital in scientific contexts.

According to Boyle's Law, when the volume of a gas doubles, its pressure is halved, maintaining an inverse relationship. If the original pressure is 12 atm, doubling the volume results in a halved pressure, leading to an estimated new pressure of 6 atm.

This estimation aligns with Boyle's Law principles, making option B, representing a new pressure of 6 atm, a reasonable and accurate conclusion based on the given scientific principles and their application to the scenario.

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User VKarthik
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