If a cup of coffee has temperature 95°C in a room where the ambient air temperature is 22°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 22 + 73e-t/54 What is the average temperature of the coffee during the first 32 minutes? average temp = °C

When resting, a person has a metabolic rate of about 3.88 x 105 joules per hour. The person is submerged neck-deep into a tub containing 4.62 x 103 kg of water at 26.9 °C. If the heat from the person goes only into the water, find the water temperature in degrees Celsius after half an hour.

The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 96/(2 + x² + y2), where T is measured in °C and x, y in meters. Find the rate of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction. (a) the x-direction 1 °C/m (b) the y-direction Need Help? Read It °C/m Show My Work (optional) W S 3 E D $ 4 R LL % O G F7 A H FA * ( 9 ) O 4x D 7:16 PM 10/3/2022 Backspace

The temperature difference between the inside and the outside of a home on a cold winter day is 45°F. (a) Express this difference on the Celsius scale. °C (b) Express this difference on the Kelvin scale. K

The following data are given for the pressure and temperature variation in air as a function of elevation: Elevation in [m] 0. Temperature in [°C]_pressure [atm] 28 1. 1000. 25 0.796 2000. 19 0.6314 3000. 12 0.4982 4000. 3 0.3905 5000. -1 0.3043 6000. 11 0.2356 You want to check if these measurements are correct. You are going to use a balloon and rise in the corresponding altitudes. If the balloon weighs 1000kg (all included, weight of yourself, equipment, inflated part etc) calculate the volume of inflated part of the balloon, so that the initial acceleration is 15m/s?. Assume that the balloon is a sphere and neglect the deflated part of the balloon as far as volume is concerned. Can you verify all measurements with this volume of the balloon? What kind of adjustments do you need to make in order to complete your mission?

The rate of heat transfer on a cold day in the Canada through a rectangular window is 2336 W. The temperature inside the home is 20.2 °C and the temperature outside the home is -7 °C. What is the area of the room if the thickness 6.7 mm and thermal conductivity value of 0.25 W/m/°C?