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Review: Chapter 19 Temp, Heat & First Law of Thermodynamics
Q 1. At what temperature do the Fahrenheit and Celsius scales coincide? (Ans:40o C)
Q 2. A substance is heated from 90o F to 315o F. What is the change in temperature on (i) the Celsius and (ii) the Kelvin scales? (Ans: (i) 125C o (ii) 125 K)
Q 3. A new temperature scale, called Mew, is invented whereby on this scale the ice point is 40o Mew and the steampoint is 190o Mew. What is the Celsius reading when the temperature on the Mew scale is 20o Mew? (Ans:  40oC)
Q 4. A steel rod is 3. 000 cm in diameter at 25oC. A brass ring has an inner diameter of 2.992cm at 25o C. At what common temperature will the ring just slide onto the rod?
(Alpha (steel) = 1.00x 105/Co, Alpha (brass) = 2.00 x 105/Co ) (Ans: 293oC)
Q 5. A metal cube 0.1m on a side is heated from 10oC to 30oC. What is the decrease in its density? (Alpha (metal) = 3.4 x 105 /Co, Density of the metal at 10o C = 2.7 x 103 K
(Ans: 3.88 kg/m3)
Q 6. A copper rod has a diameter of 5. 000 cm and a length of 25. 000 cm at 20oC. At 100 oC the length of the rod is 25.034 cm. What is the fractional change in volume of the rod when the temperature of the rod increases from 20oC to 100oC ? (Ans: 4.08x103)
Q7. A block of copper of mass 500 g is dropped into a copper calorimeter of mass 200 g which contains 250 g of water at 25oC. This causes the water to boil and 8. 00 g are changed into steam. The heat of vaporization of water is 540 cal/g and the specific heat of copper is 0.0923 cal/gCo). What was the temperature of the copper block? (Neglect neat losses to the environment). (Ans: 630oC)
Q8. A 50 kg block of ice at 0oC is given an initial speed of 5.4 m/s along a rough horizontal surface. The block slides a distance of 28.3 m before coming to rest. How much ice melts during this time ? Take heat of fusion of water to be 3.3x105 J/Kg. (Ans: 2.2 g)
Q9. A rod made of copper has a length of 1 m. The crosssectional area of the rod is 1 cm2. One end is maintained at the steam point (100 oC) and the other end kept at 0 oC with a large block of ice. How much ice melts in one hour? Take latent heat of fusion of water to be 80 cal/g and the themal conductivity of copper to be 0.95 cal/(s.cm.C deg). (Ans: 43 g)
Q10. How much ice at  20 deg C must be dropped into 0.25 kg of water initially at 20oC in order for the final temperature to be 0oC with all the ice melted ? The heat capacity of the container may be neglected. Specific heat of ice = 0.48 cal/g Co; heat of fusion of water = 80 cal/g.
(Ans: 55.8 g)
Q11. An ideal gas is carried around the cycle shown in Fig. 1. Calculate the amount of heat supplied to the gas in each cycle. (Ans. 213 cal)
Q12. An ideal gas goes from A to B in the process shown in Fig. 2. In this process the internal energy of the gas increases by 500 cal. How much heat is supplied to the gas in this process?
(Ans. 5130 J)
A
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