please help with physics problems!?
1) What is the temperature increase of 4.0 kg of water when heated by an immersion heater 800 W for 10 minutes? (Cw = 4 186 J / kg ⋅ ° C) 2) spherical air bubbles from a diver at a depth of 18.0 m with a diameter of 1.0 cm. What is the diameter of the bubble when it reaches the surface? (Assume constant temperature.) 3) A 80.0 g piece of copper, initially at 295 ° C, is dropped in 250 g of water in an aluminum calorimeter 300 g, water and calorimeter are initially at 10.0 ° C. What is the final temperature of the system? (The specific heats of copper and aluminum are 0.092 0 and 0.215 cal / g ⋅ ° C, respectively. CW = 1.00 cal / g ⋅ ° C) if anyone can help me with these problems would be greatly appreciated!
1) Weight = 4.0 kg m P = 800 W Power Time = 10 min = 600 sec heat Q = P x time = 800 x 600 = 4.8 x 10 ^ 5 J Let to increase the temperature of delta T = Q = CW x delta T x 4.8 x 10 ^ 5 = 4.0 x 4186 x delta T delta T = (4.8 x 10 ^ 5) / (4.0 x 4186) = 28.7 ° C Answer: 28.7 ° C 2) h = 18.0 m water density p = 1000 kg / m ^ 3 Patm atmospheric pressure = 1 x 10 ^ 5 Pa when the bubble is at depth h: – Pressure P1 = Patm PGH + = 1 x 10 ^ 5 + 1000 x 9.8 x 18 = 2764 x 10 ^ 5 Pa On the surface, pressure P2 = 1 x 10 ^ 5 Pa P1 V1 = P2 V2 = V2/V1 P1/P2 = (2,764 x 10 ^ 5) / (1 x 10 ^ 5) = 2.764 diameter initial Let = d1, d2 = final diameter diameter is proportional to ^ (1 / 3) Therefore d2/d1 = (2,764) ^ 3.1 = 1.4 D2 = 1.4 d1 = 1.4 x 1.0 cm = 1.4 cm Answer: 1.4 cm 3) Let the final temperature tf system = heat lost by the piece of copper = 80.0 x 0.092 x (295 – Tf ) = 7.36 (295 – Tf) = tf 7.36 2171.2 to heat gained by water and calorimeter = (250 + 300 x 1.00 x 0215) (tf – 10.0) = 314.5 (tf – 10.0) = 314.5 tf – 3145 The heat lost = Heat gained from 2171.2 to 7.36 tf = tf 314.5 to 314.5 tf 3145 tf + 7.36 = 2171.2 + 3145 = 5.316,2 321.86 5316.2/321.86 tf = tf = 16.5 ° C A. __________________ 16.5 ° C.
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