# The gas inside of a container exerts #8 Pa# of pressure and is at a temperature of #120 ^o K#. If the temperature of the gas changes to #35 ^oC# with no change in the container's volume, what is the new pressure of the gas?

The pressure is

We utilize the Gay Lussac Law.

The last bit of pressure is

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To find the new pressure of the gas, we can use the combined gas law, which states that for a fixed amount of gas at constant volume, the pressure and temperature are directly proportional. The formula for the combined gas law is:

( \frac{P_1 \cdot T_1}{P_2 \cdot T_2} = \text{constant} )

Where: ( P_1 ) = initial pressure of the gas ( T_1 ) = initial temperature of the gas in Kelvin ( P_2 ) = final pressure of the gas (what we want to find) ( T_2 ) = final temperature of the gas in Kelvin

First, we convert the initial temperature to Kelvin:

( T_1 = 120^\circ \text{K} )

Next, we convert the final temperature from Celsius to Kelvin:

( T_2 = 35^\circ \text{C} + 273.15 = 308.15 \text{K} )

Now, we can plug these values into the formula and solve for ( P_2 ):

( \frac{8 \text{Pa} \cdot 120\text{K}}{P_2 \cdot 308.15\text{K}} = \text{constant} )

( \frac{960\text{Pa}\cdot\text{K}}{P_2\cdot\text{K}} = \text{constant} )

( \frac{960}{P_2} = \text{constant} )

( P_2 = \frac{960}{\text{constant}} )

Therefore, the new pressure of the gas when the temperature changes to 35°C is 960 Pa.

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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.

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- A container has a volume of #5 L# and holds #1 mol# of gas. If the container is expanded such that its new volume is #9 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

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