20 cubic meters of hydrogen gas at 100 K is heated under constant pressure to 200 K. What is the new volume of the hydrogen gas?

Answer 1

I found #40m^3#

I tried using the Ideal Gas Law collecting #nR# between the initial and final state:

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Answer 2

To find the new volume of the hydrogen gas, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is constant.

[ \frac{V_1}{T_1} = \frac{V_2}{T_2} ]

Where:

  • ( V_1 ) and ( T_1 ) are the initial volume and temperature, respectively.
  • ( V_2 ) and ( T_2 ) are the final volume and temperature, respectively.

Given:

  • ( V_1 = 20 ) cubic meters
  • ( T_1 = 100 ) K
  • ( T_2 = 200 ) K

We can rearrange the equation to solve for ( V_2 ):

[ V_2 = \frac{V_1 \times T_2}{T_1} ]

Plugging in the values:

[ V_2 = \frac{20 , \text{m}^3 \times 200 , \text{K}}{100 , \text{K}} = 40 , \text{m}^3 ]

So, the new volume of the hydrogen gas is ( 40 ) cubic meters.

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Answer from HIX Tutor

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.

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