The osmotic pressure of a solution at 327,^oC | vedclass

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(B) The formula for osmotic pressure is $\Pi = CRT$,where $\Pi$ is osmotic pressure,$C$ is concentration,$R$ is the gas constant,and $T$ is temperatur

Vedclass · Accepted Answer

$24/7$

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(B) The formula for osmotic pressure is $\Pi = CRT$,where $\Pi$ is osmotic pressure,$C$ is concentration,$R$ is the gas constant,and $T$ is temperature in Kelvin.Step $1$: Convert temperatures to Kelvin.$T_1 = 327 + 273 = 600 \, K$$T_2 = 427 + 273 = 700 \, K$Step $2$: Set up the equations.For the first condition: $P = C 	imes R 	imes 600$For the second condition: $2 = (C/2) 	imes R 	imes 700$Step $3$: Divide the two equations.$P / 2 = (C 	imes R 	imes 600) / ((C/2) 	imes R 	imes 700)$$P / 2 = (600) / (350) = 60 / 35 = 12 / 7$$P = 2 	imes (12 / 7) = 24 / 7 \, atm$.

The osmotic pressure of a solution at $327\,^oC$ and concentration $C$ is $P$. If the osmotic pressure of the same solution at concentration $C/2$ and temperature $427\,^oC$ is $2\, atm$,then the value of $P$ is:

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