1.A wet sand sample has a volume of 4.63 * 10^-4 m^3 and weighs 8 N. After oven-drying, the weight reduces to 7.5 N. Calculate the water content, void ration, and degree of saturation.
2.The wet mass of a sample of saturated soil is 520 grams. The dry mass, after oven-drying, is 400 grams. Determine the a) water content b)void ration c)saturated unit weight, and d)effective unit weight
3.The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of quantities, write a relation for the filling time in terms of the volume (V ) of the tank in liters (L) and the discharge rate of gasoline (dV/dt) in terms of L/s.
4.A cylinder has 500cm^3 of water. After a mass of 100 grams of sand is poured into the cylinder and all air bubbles are removed by a vacuum pump, the water level rises to 537.5 cm^3. Determine the specific gravity of the sand.