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The temperature of a 89.869 L sample of SeF6 is changed, causing a change in pressure from 84.42 PSI to 6.18 atm. If its new temperature is 1020.1 K and its new volume is 21.962 L, what was its original temperature in kelvins?

Question

The temperature of a 89.869 L sample of SeF6 is changed, causing a change in pressure from 84.42 PSI to 6.18 atm. If its new temperature is 1020.1 K and its new volume is 21.962 L, what was its original temperature in kelvins?

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Solution

To solve this problem, we can use the combined gas law which states that the ratio of the product of pressure and volume to temperature is constant for a given amount of gas. The formula is:

P1V1/T1 = P2V2/T2

Where: P1 = initial pressure V1 = initial volume T1 = initial temperature (which we are trying to find) P2 = final pressure V2 = final volume T2 = final temperature

First, we need to convert the pressures to the same units. We'll convert PSI to atm because the final pressure is given in atm. 1 atm = 14.696 PSI. So, the initial pressure in atm is 84.42 PSI / 14.696 = 5.74 atm.

Now we can plug the values into the formula and solve for T1:

5.74 atm * 89.869 L / T1 = 6.18 atm * 21.962 L / 1020.1 K

Rearranging the formula to solve for T1 gives:

T1 = 5.74 atm * 89.869 L * 1020.1 K / (6.18 atm * 21.962 L)

Calculating this gives:

T1 = 448.6 K

So, the original temperature of the gas was approximately 448.6 kelvins.

This problem has been solved

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