Osmotic pressure at 273 K is 7 × 105 Pa, then what will be the value of x, if its osmotic pressure at 283 K is x × 104 Pa?

<!- [if gte mso 9]><xml> </xml><! [endif]-> π 1 = i C R T 1 π 2 = i C R T 2 <!- [if gte mso 9]><xml> </xml><! [endif]-> π 1 T 1 = π 2 T 2 <!- [if gte mso 9]><xml> </xml><! [endif]-> π 2 = π 1 * T 2 T 1 <!- [if gte mso 9]><xml> </xml><! [endif]-> = 7 * 1 0 5 * 2 8 3 2 7 3 <!- [if gte mso 9]><xml> </xml><! [endif]->= 7.256 * 105 * Pa= 72.56 * 104 Pap2 = x * 104x = 72.56 » 73

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Chemistry Class 12th Chemistry Solutions

Osmotic pressure at 273 K is 7 × 10⁵ Pa, then what will be the value of x, if its osmotic pressure at 283 K is x × 10⁴ Pa?

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alok kumar singh | Contributor-Level 10

2 weeks ago

$π_{1} = i C R T_{1}$

$π_{2} = i C R T_{2}$

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

$π_{2} = \frac{π_{1} * T_{2}}{T_{1}}$

$= \frac{7 * 1 0^{5} * 283}{273}$

= 7.256 * 10⁵ * Pa

= 72.56 * 10⁴ Pa

p₂ = x * 10⁴

x = 72.56 » 73

<!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1820749522"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <msub> <mrow> <mi>π</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mi>i</mi> <mi>C</mi> <mi>R</mi> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </math> <math> <mrow> <msub> <mrow> <mi>π</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>i</mi> <mi>C</mi> <mi>R</mi> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </math>            <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1820749523"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mfrac> <mrow> <msub> <mrow> <mi>π</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mrow> <mi>π</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math>            <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1820749524"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <msub> <mrow> <mi>π</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mrow> <mi>π</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>*</mo> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math>            <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1820749525"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mo>=</mo> <mfrac> <mrow> <mn>7</mn> <mo>*</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>5</mn> </mrow> </msup> <mo>*</mo> <mn>2</mn> <mn>8</mn> <mn>3</mn> </mrow> <mrow> <mn>2</mn> <mn>7</mn> <mn>3</mn> </mrow> </mfrac> </mrow> </math>                  <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1820749526"> </o:OLEObject></xml><! [endif]->= 7.256 * 105 * Pa= 72.56 * 104 Pap2 = x * 104x = 72.56 » 73

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