The pressure and temperature inside an insulated hot-beverage bottle is related to the volume of the bottle and the amount of beverage in it by a real-world form of the ideal gas law. The ideal gas law is given by the formula , in which is the number of moles (a unit of counting) of the gas in a container, is the pressure the gas exerts on the container, is the volume of the container, and is the temperature in degrees Kelvin. The only constant in the formula is . Rearrange the formula to show how the temperature is affected by doubling each variable , , and . (Note: All of the quantities in the formula are nonzero.)

Isolate temperature, , in the given formula, .

Determine how is affected in the rearranged formula if is doubled and and stay the same.

Determine how is affected in the rearranged formula if is doubled and and stay the same.

Determine how is affected in the rearranged formula if is doubled and and stay the same.

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