The pressure, volume, and temperature of a mole of an ideal gas are related by the equation pv = 8.31t, where p is measured in kilopascals, v in liters, and t in kelvins. use differentials to find the approximate change in the pressure if the volume increases from 10 l to 10.3 l and the temperature decreases from 330 k to 320 k. (note whether the change is positive or negative in your answer. round your answer to two decimal places.)

The pressure will decrease by about 16.53 kPa.

Explanation:

Given that,

The equation is

...(I)

We need to calculate the initial pressure

Using given equation

Put the value into the formula

The volume increase from 10 L to 10.3 L.

The temperature decrease from 330 K to 320 K.

We need to calculate the change in the pressure

Now, on differentiating equation (I)

Put the value into the formula

Hence, The pressure will decrease by about 16.53 kPa.

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