In April 2024
Answer to Question #241334 in Mechanical Engineering for Cephas
When a certain perfect gas is heated at constant pressure fr 15 degree C to 95 degree C, the heat required is 1136KJ/Kg.When the same gas is heated at constant volume between the same temperatures the heat required is 808KJ/Kg. Calculate the Cp, Cv, R and molar mass of the gas.
"T \n1\n\u200b\t\n =15\u00b0"
"T \n2\n\u200b\t\n =95\u00b0"
"\u0394Q \n_1\n\u200b\t\n =1136 \nkg\/\nkJ"
"\u0394Q \n_2\n\u200b\t\n =808 \nkg\/\nkJ\n\u200b"
"\u0394Q \n_1\n\u200b\t\n =c \n_p\n\u200b\t\n \u0394T\u2192c \n_p\n\u200b\t\n = \n\n\u0394Q \n_1\/\u0394T\n\u200b\t\n \n\u200b\t\n = \n\n1136000\/80 \n\u200b\t\n = 14200 \nJ\/kgK"
"\u0394Q \n_2\n\u200b\t\n =c \n_v\n\u200b\t\n \u0394T\u2192c \n_v\n\u200b\t\n = \n\n\u0394Q \n_1\/\u0394T\n\u200b\t\n \n\u200b\t\n = \n\n808000\/80 \n\u200b\t\n = 10100\nJ\/kgK"
"\u03b3= \n\n\u200b\t\n \nc \n_p\/c_v\n\u200b\t\n \n\u200b\t\n = \n\n14200\/10100\n\u200b\t\n =1.4"
"R \n_m\n\u200b\t\n =c \n_p\n\u200b\t\n \u2212c \n_V\n\u200b\t\n =14200\u221210100=4100 J\/\nkg\u22c5K\n\n\u200b"
"R=R \n_m\n\u200b\t\n \u22c5M\u2192M= \nR\/R \n_m\n\u200b\t\n \n\n\u200b\t\n = \n8.31\/4100\n\n\u200b\t\n =0.002 \nkg\/mol"
The gas is hydrogen "(H_2)"
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