Math, asked by itsamanok55, 1 year ago

under the condition that the temperature remain constant the volume of gas is inversely proportional to its pressure if the volume of gas is 360 cubic centimetres at a pressure of 360 millimetres of mercury then what will be the pressure of the gas if its volume is 720 cubic centimetre at the same temperature​

Answers

Answered by sk940178
35

Answer:

180 mm of mercury.

Step-by-step explanation:

Given, at constant temperature (T), volume (V) of gas is inversely proportional to it's pressure (P).

So, at T= constant,

\frac{V_{1} }{V_{2} } =\frac{P_{2} }{P_{1} }

P_{2} =\frac{V_{1} }{V_{2} } P_{1} ...... (1)

Now, it is given that, V_{1}=360 cm³ at P_{1}=360 mm of mercury.

Then we have to find P_{2} when V_{2}= 720 cm³

Hence, from equation (1), P_{2} =\frac{360}{720}*360 =180 mm of mercury. (Answer)

Answered by nitinkbhanot
8

Answer:

315 mm.

Step-by-step explanation:

V1/V2 =P1/P2

630×720= 360×P2

=315mm.

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