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Construct a truth table (truth matrix) for each of these compound proposition


  1. p ∧ ~q
  2. p → ~q
  3. ( p ∨ q ) → ( p ∧ q)
  4. ( p ∨ q ) → r
  5. ( p ∨ q )∧ ~r


by using truth table (truth matrix), show that each statement is a tautology, contradictory or a contingent statement.


  1. ~p ∧ q
  2. ~(p ∨ q) → q
  3. ~(~p ∧ q) ∨ q
  4. ~p → (p → q)
  5. ~p → (p ∨ q)

Identifying a compressed gas cylinder is

based on the first letter of the

cylinder’s color printed on the cylinder. For Example

‘Y’ or ‘y’ for yellow, ’O’

or ‘o’ for orange and so on. Cylinder colors and associated contents are as

follows.

Orange

--

Ammonia

Brown

--

Carbon monoxide

Yellow

--

Hydrogen

Green

--

Oxygen.

Write a C program using switch case to identify the type of gas compresse

d

in a given cylinder.



the sum of two numbers is 4. find the minimum value of the sum of their cubes.


You play a game with two six-sided dice. If you roll a sum of 3 or 8, you win ₱600. If you roll a sum of 10, you win ₱400. However, you lose ₱500 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?


1) A solution is prepared by dissolving 5.02 g of KNO3 in 95.0 g of water. Calculate the following:



a) Mole fraction of the solute and the solvent


b) % mass of the solute


c) Concentration of solution in ppm




2) What is the mass in grams of KCl present in 23.0 g KCl of 12.50 KCl solution?

Find the corresponding area between z=0 and each of the following


1.z=0.85

2.z=1.27

3.z=2.86

4.z=1.05

5.z=-2.96


4. A gas expands and does P-V work on the surroundings, equal to 279 J. At the same time it absorbs 216 J of heat from he surroundings. What is the change in energy of the gas?


3. A gas expands in volume from 26.7 mL to 89.3 mL at constant temperature. Calculate the work done (in joules) if the gas expands.

  a.) against a vacuum

  b.) against a constant pressure if 1.5 atm and,

  c.) against a constant pressure of 2.8 atm


2. The work done to compress a gas is 74 J. As a result, 26 J of heat is given off to the surroundings. Calculate the change in energy of the gas.


1. A gas expands from 282mL to 823mL at constant temperature. Calculate the work done (in joules) by the gas if it expands.

  a.) against a vacuum

  b.) against a constant pressure


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