(a) Explanation Given info: The pressure of system is 80.3 kPa at temperature − 10.0 ° C and the pressure of system is 86.4 kPa at temperature 10.0 ° C for a constant volume gas. At constant volume the relation between the pressure and temperature is directly proportional to each other and it is given as, P = a + b T (1) Here, P is the pressure at the constant volume. T is the temperature at the constant volume. a and b are the constants. Substitute 80.3 kPa for P and − 10.0 ° C for T in equation (1) to find the constants. 80.3 kPa = a + b ( − 10.0 ° C ) 80.3 kPa = a − b ( 10.0 ° C ) . (2) Substitute 86.4 kPa for P and 10.0 ° C for T in equation (1) to find the constants. 86.4 kPa = a + b ( 10.0 ° C ) (3) Solve equation (2) and equation (3) to find a and b constants. a = 83.35 kPa b = 0 (b) To determine The pressure of gas at the freezing and boiling point of the water. (c) To determine The change in answers to part (a) and part (b) when a different constant volume gas thermometer is used.

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Chapter 16, Problem 8PCE

(a)

To determine

The temperature of the system when the pressure extrapolates to zero.

(b)

To determine

The pressure of gas at the freezing and boiling point of the water.

(c)

To determine

The change in answers to part (a) and part (b) when a different constant volume gas thermometer is used.

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Physics, Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (5th Edition)

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The temperature of the system when the pressure extrapolates to zero.

Solution Summary: The author calculates the temperature of the system when the pressure extrapolates to zero. The relation between pressure and temperature is directly proportional to each other.

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The temperature of the system when the pressure extrapolates to zero.

The pressure of gas at the freezing and boiling point of the water.

The change in answers to part (a) and part (b) when a different constant volume gas thermometer is used.

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Chapter 16 Solutions