Estimate the volume of a pound of steam

Reference no: EM131009530

Designing safe boilers depends on knowing how steam behaves under certain changes in temperature and pressure. Steam tables, such as the one below, are published giving values of the function V=f(T,P) where V is the volume (in cubic feet) of one pound of steam at a temperature of T (in degrees Fahrenheit) and pressure P (in pounds per square inch.)

P//T	20	22	24	26
480	27.85	25.31	23.19	21.39
500	28.46	25.86	23.69	21.86
520	29.06	26.41	24.20	22.33
540	29.66	26.95	24.70	22.79

a) Find the tangent plane to V=f(T,P) for T near 500 degrees F and P near 24 lb/in². [Hint: Use the tables to approximate your partial derivatives.]

b) Estimate the volume of a pound of steam at a temperature of 505 degrees F and P near 24.3 lb/in².

Reference no: EM131009530

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