using differentiation, find an expression for the most probable speed of molecules of molar mass M and Temperature T. (hint: where is df(v)/dv=0?) show all work
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using differentiation, find an expression for the most probable speed of molecules of molar mass M and Temperature T. (hint: where is df(v)/dv=0?) show all work
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- Help please answer this calculus Question: The pressure P and volume V of an expanding gas are related by the formula PV^b =c, where b and C are constants (this holds in adiabatic expansion, with or without loss). Find the dP/dt if b=1.6, P=10 kPa, V=60 cm^3, and dV/dt =80 cm^3/min. (Use symbolic notation and fractions where needed).An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside world, and heat can be added or removed as necessary. (Figure 1) shows various paths that the gas might take in expanding from an initial state whose pressure, volume, and temperature are po, Vo, and To respectively. The gas expands to a state with final volume 4V. For some answers it will be convenient to generalize your results by using the variable R₂ = Vfinal/Vinitial, which is the ratio of final to initial volumes (equal to 4 for the expansions shown in the figure.) The figure shows several possible paths of the system in the pV plane. Although there are an infinite number of paths possible, several of those shown are special because one of their state variables remains constant during the expansion. These have the following names: Adiabatic: No heat is added or removed during the expansion. • Isobaric: The pressure remains constant during the expansion. ● •…Needs Complete typed solution with 100 % accuracy.
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