Is temperature directly proportional to pressure?
Well, in a very special case.
Gas laws are extremely useful in experimental science, as they allow us to work out volumes, temperatures, pressures, and other variables for an ideal gases, even though no ideal gases exist.
Anyways, we can use an equation that connects temperatures and gases together, which is also known as Gay-Lussac's Law.
Gay-Lussac's Law: If the number of moles and the volume of a gas is constant, then temperature is directly proportional to pressure, i.e. It might be useful to look at a diagram of the law:
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No, temperature is not directly proportional to pressure. They are related by the ideal gas law, which states that for an ideal gas, pressure is directly proportional to temperature when the volume and the amount of gas are constant. The relationship is given by (P \propto T), where (P) is pressure and (T) is temperature measured in an absolute scale like Kelvin.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A gas expands in volume from 35.6 mL to 70.6 mL at constant temperature. What is the work done (in joules) if the gas expands against a constant pressure of 3.2 atm?
- If the burning of the fuel in a potato cannon performs 855 J of work on the potato and produces 1422 J of heat, what is #DeltaE# for the burning of the fuel?
- One #"mol"# of an ideal gas, initially at #"300 K"#, is cooled at constant #"V"# so that #"P"_f# is #1/4 "P"_i#. Then the gas expands at constant #"P"# until it reaches #"T"_i# again. What is the work #w# done on the gas?
- A #6 L# container holds #5 # mol and #6 # mol of gasses A and B, respectively. Groups of three of molecules of gas B bind to two molecules of gas A and the reaction changes the temperature from #480^oK# to #270^oK#. How much does the pressure change?
- How does heat affect pressure?

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