A cable that weighs 4 lb/ft is used to lift 850 lb of coal up a mine shaft 300 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter x;* as x₁.) lim 818 i = 1 1) AX Ax Express the work as an integral. 6 Evaluate the integral. ft-lb. dx

A cable that weighs 4 lb/ft is used to lift 850 lb of coal up a mine shaft 300 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter x;* as x₁.) lim 818 i = 1 1) AX Ax Express the work as an integral. 6 Evaluate the integral. ft-lb. dx

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter2: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 2.91E: The Dieterici equation of state for one mole of gas is p=RTe-aVRTV-b Where a and b are constants...

See similar textbooks

Similar questions

The Dieterici equation of state for one mole of gas is p=RTe-aVRTV-b Where a and b are constants determined experimentally. For NH3g, a = 10.91 atm. L2 and b = 0.0401 L. Plot the pressure of the gas as the volume of 1.00 mol of NH3g expands from 22.4 L to 50.0 L at 273 K, and numerically determine the work done by the gas by measuring the area under the curve.
Calculate the work (J) needed for a bird of mass 120g to fly to a height of 50m from the surface of the Earth.
A 5.00 dm3 gas cylinder containing 4.00 kg of NH3(g) at 27oC developed a leak leading to the escape of the gas into the atmosphere. If the atmospheric pressure is 101.3 kPa, calculate the PV work done by the gaas, assuming ideal behavior.
Suppose we put an object with temperature T0 in a room with constant temperature K.We know that the heating/cooling speed of the object is proportional to the temperature differencebetween the object and the environment with ratio r a positive constant. If we write the temperature of the object T as a function of time t, write out the differentialequation it has to satisfy.
111.1Ms = ? ks show work, report sig figs and units
Calculate the work done by a gas w hen it expandsthrough (a) 1.0 cm3, (b) 1.0 dm3 against an atmospheric pressure of 100 kPa . What work must be done to compress thegas back to original state in each case?
A7. (a) Given that for an ideal gas (0) AG=nRT In aG ap =V, show that for a change in pressure from P₁ to P₂ ompression of two
6. a) Show for constant temperature the maximum work is given by dwmax = dU – TdS = dA Hint: start with the Clausius inequality, the definition of the internal energy dU, and remember w is negative when done by the system on the surroundings. b) A similar process at constant T and P leads to the expression dG = dwm Vтах,add Where wmax,add is all work except expansion work. For measurable changes we can write AG = wmax.add. Use this result to calculate the maximum non-expansion work from the combustion of C3H3 at STP given A,G°(H20) = -237 kJ mol-1, A;G°(CO2) = –394 kJ mol-1,A;G°(C3H3) = -23 kJ mol-1.
EX// A chemical reaction takes place in a container of cross-sectional area 50.0 cm?. As a result of the reaction, a piston is pushed out through 15 cm against an external pressure of 121 kPa. Calculate the work done by the system.
1. Calculate the heat capacity in the process V=AT. Consider different cases of b.
A chemical reaction takes place in a container fitted with a piston of cross-sectional area 20cm2. As a result of the reaction, the gas undergoes a compression, the piston is displaced by 5cm (toward the bottom of the container), pushed by an external pressure of 105Pa. Calculate the work.
Calculate V−1(∂V/∂T)p,n for an ideal gas?