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The temperature, T, of a given mass of gas varies inversely with its Volume,V. The temperature of 98 cm Ā³ of a certain gas is 28Ā°C. What will the temperature of the gas be when it is compressed to a volume of 70 cm Ā³?

Respuesta :

Answer:

Tā‚‚ = 421.4 K

Step-by-step explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

[tex]T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2[/tex]

We have,

Vā‚ = 98 cmĀ³, Tā‚ = 28Ā° C = (28+273) K = 301 K

Vā‚‚ = 70 cmā‚ƒ

We need to find the new temperature of the gas. Using the above relation to find Tā‚‚.

[tex]T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K[/tex]

Hence, the required temperature of the gas is 421.4 K.

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