Math, asked by itsamanok55, 11 months 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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