Suppose that at room temperature, a certain aluminum bar is 1.0000 m long. The bar gets longer when its temperature is raised. The length l of the bar obeys the following relation: l = 1.0000 +2.4 × 10-5T, where T is the number of degrees Celsius above room temperature. What is the change of the bar's length if the temperature is raised to 18.3 °C above room temperature? Express your answer in meters to two significant figures. Hνα ΑΣφ Al =

Instructions: Answer must be in standard form scientific notation with SI units that do not have prefixes except for kg. Provide the answer with the correct amount of significant figures. Thank you I greatly appreciate it

What is the cost of heating water in a swimming pool of radius 3.5 m and depth 1.3 m from 13 degress celcius to 27 degress Celcius. If the price of energy is $0.08/ KWh. The specific heat of water is 4186 J/Kg/Cdegrees and density of water is 1000 Kg/m^3. (Hint: Volume of cylinder is πr2h) A. $30.25 B. $65.15 C. $95.50 D. $25.25 E. $133

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 number density of gas atoms at a certain location in the space above our planet is about 0.75 × 1011 m-3, and the pressure is 2.65 × 10-10 Pa in this region. What is the temperature in this region, in degrees Celsius?

A machinist wishes to insert an iron rod with a diameter of 9 mm into a hole with a diameter of 8.998 mm. By how much would the machinist have to lower the temperature (in Celsius) of the rod to make it fit in the hole?

A 6.00-m-long cylinder of solid aluminum has a radius of 3.00 cm. "If the cylinder is initially at a temperature of 7.00 C, how much will the length change when the temperature rises to 40.0°C? (Express your answer to three significant figures.) Submit m Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? (Express your answer to three significant figures.) Submit % By what percentage does the volume of the cylinder increase? (Express your answer to three significant figures.) %

When the coefficient of linear expansion, a, and the temperature change, T-T, are large, a length L, of a solid substance expands in length to a(T, -T₂) L₁ = L₁e O L=L[1 + a(Tƒ– T;)]. ○ Ly=al (Ty-T). O L=L[1 + In(a(T₁-T))]. a(T, I₂ = ₁₂₁[ 1 + ª²(²₁-7)].

Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a)What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 24.8°C and rises to an altitude where its volume is sixteen times the original volume and its temperature is  −41.7°C?  (Enter your answer to at least 3 decimal places) _______________ atm   (b)What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.) ________________ atm

The density of lead is 1.13 x 104 kg/m3 at 20.0°C. Find its density (in kg/m3) at 128°C. (Use a = 29 x 10-6 (°C)-1 for the coefficient of linear expansion. Give your answer to at least four significant figures.) HINT kg/m3