A 10 kW drilling machine is used to drill a bore in a small aluminum block of mass 8.0 kg. How much is the rise in temperature of the block in 2.5 minutes, assuming 50 percent of power is used up in heating the machine itself or lost to the surroundings. Specific heat of aluminum = 0.91 J .
Energy used in heating = 50% =75 x 105J
A child running a temperature of 101F is given an antipyrin (i.e. a medicine that lowers fever) which causes an increase in the rate of evaporation of sweat from his body. If the fever is brought down to 98 F in 20 min, what is the average rate of extra evaporation caused, by the drug? Assume the evaporation mechanism to be the only way by which heat is lost. The mass of the child is 30 kg. The specific heat of human body is approximately the same as that of water, and latent heat of evaporation of water at that temperature is about 580 cal
Specific heat of the human body = Specific heat of water = 1000 cal/kg/ °C
The heat lost by the child is
Let m1 be the mass of the water evaporated from the child’s body in 20 min.
Loss of heat through water is
Average rate of extra evaporation caused by the drug = m1 / t
= 86.2 / 200
= 4.3 g/min.
A = Surface area of the box = 6s2 = 6 × (0.3)2 = 0.54 m3
Time gap, t = 6 h = 6 × 60 × 60 s
But Q = m'L
∴ m' = Q/L
= 104976/(335 × 103) = 0.313 kg
Mass of ice left = 4 – 0.3 = 3.7 kg
Hence, the amount of ice remaining after 6 h is 3.7 kg.
A brass boiler has a base area of 0.15 m2 and thickness 1.0 cm. It boils water at the rate of 6.0 kg/min when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass = 109 J ; Heat of vaporization of water = 2256
Base area of the boiler, A = 0.15 m2
Thickness of the boiler, l = 1.0 cm = 0.01 m
Boiling rate of water, R = 6.0 kg/min
Mass, m = 6 kg
Time, t = 1 min = 60 s
Thermal conductivity of brass, K = 109 J s –1 m–1 K–1
Heat of vaporisation, L = 2256 × 103 J kg–1
The amount of heat flowing into water through the brass base of the boiler is
..........(1)
where,
T1 = Temperature of the flame in contact with the boiler
T2 = Boiling point of water = 100°C
Heat required for boiling the water
Q = mL ....… (ii)
Equating equations (i) and (ii), we get:
∴ mL = KA(T1 - T2) t / l
T1 - T2 = mLl / KAt
= 6 × 2256 × 103 × 0.01 / (109 × 0.15 × 60)
= 137.98 o C
Therefore, the temperature of the part of the flame in contact with the boiler is 237.98°C.
Total length after expansion = 30 + 0.013 = 30.013m
number of moles according to gas equation
A spray can containing a propellant gas at twice atmospheric pressure (202 kPa) and having a volume of 125 is at 22C. It is then tossed into an open fire. When the temperature of the gas in the can reaches 195C, what is the pressure inside the can? Assume any change in the volume of the can is negligible.
Total no.of times he lift barbell = Total energy / energy in lifting barbell once