F contains n-k edges
Let F be a forest of order 'n' containing 'k' connected components. Prove that F contains n-k edges.
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One compound contains 80.78% C, 13.56% H, and 5.66% OF. A solution of 1.03g of this in 7.49g of benzene freezes at 3.01 degrees C. What are the molecular formula and molar mass?
The heat capacity of liquid water is 4.18 j/g C and the heat vaporization is 40.7 kj/mol. How many kilojoules of heat must be provided to convert 1.0 g of liquid water at 67 C into 1.00 g steam at 100 C?
When kicked, the ball leaves the ground with a speed of 20.0 m/s at an angle of 48.0° to the horizontal. How much does the ball clear or fall short of clearing the cross bar?
What is the work done for 1kg of air? If it is expanded isentropically. What is the pressure of the air leaving the turbine?
In a women's 100-m race, accelerating uniformly, Laura takes 2.00 s and Healan 3.00 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4
An electron is accelerated from rest through a potential difference 1200 V. Give the electron's kinetic energy after this acceleration in electron-volts and in joules.
What is the work done on the R-134a? Have you made any assumption? Explain. What is the entropy change in this operation?
The gas is considered an ideal gas with Cp=5.832 kJ/kg.K. Find the final temperature T2 and work done by the Compressor.
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