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3 years ago

If the pressure of a gas sample is quadrupled and the absolute temperature is doubled. True or False

Physics

1 answer:

Vanyuwa [196]3 years ago

6 0

The given statement"If the pressure of a gas sample is quadrupled and the absolute temperature is doubled" is false.

Answer: Option B

<u>Explanation:</u>

As we know the direct relationship between Pressure and Temperature by the Gay-Lussac’s Law,

$P_{1} T_{1}=P_{2} T_{2}$

From this, we get,

$\frac{P_{1}}{T_{2}}=\frac{P_{2}}{T_{1}}$

$T_{2}=\frac{P_{1} T_{1}}{P_{2}}$

So, according to given statement, we have $P_{2} = 4 P_{1}$

Then from the above expression, we can find out the value of $T_{2}$ when pressure increased by 4 times of initial pressure as,

$T_{2}=\frac{P_{1} T_{1}}{4 P_{1}}$

Hence, we get,

$T_{1}=4 T_{2}$

Hence, from the above expression we can say that as we increase the pressure four times, the temperature does not get doubled. So, the given statement in the question is false.

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a) In order to draw a sketch of the situation, I must include the data I know, the data I would like to know and a drawing of the car including the direction of the movement and its acceleration, just like in the attached picture.

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unknown:

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in order to choose the appropriate equation, I must take the knowns and the unknown and look for a formula I can use to solve for the unknown. I know the initial velocity, initial position, time, acceleration and I want to find out the displacement. The formula that contains all this data is the following:

$x=x_{0}+V_{x0}t+\frac{1}{2}a_{x}t^{2}$

Once I got the equation I need to find the displacement, I can plug the known values in, like this:

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after cancelling the pertinent units, I get that my answer will be given in meters. So I get:

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I need to find the final velocity, so I need to use an equation that will use some or all of the known data and the unknown. In order to solve this problem, I can use the following equation:

$a=\frac{V_{f}-V_{0} }{t}$