A box of length 1 meter and cross-sectional area A has a moveable partition inside it. There is some gas on either side of the partition. The number of particles on the left is Ni = 3x10. The number of particles on the righ is Na = 2x10, The gas on both sides is im thermal equilibrium at the same temperature T. When the partition settles down to its finall position, find the lengths Li and La of the left- and right sides of the box. * Im L,

The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.317. Find the rate at which the volume is changing when the temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of 0.07 kPa/s. Please show your answers to at least 4 decimal places. dV dt L/s

Problem 3. The viral coefficients of a gas at 20 °C and 11.5 bar are B = -138 cm³ mol¹ and C=7222 cmº mol². Calculate the V (molar volume) Z (compressibility factor) of the gas. Use the equation below (R = 83.14 cm³ bar mol-¹ K-¹). PV 2 = ² = (1 + = + =) Z RT

A sealed 99 m3 tank is filled with 6000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 320 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in Sl units, is closest to:

The Arhennius viscosity model describes how viscosity u depends on temperature 1: u = uo e E/RT 1 DVD DVD Here u is viscosity (Pa.s), I is the temperature (in "Kelvin), E is the activation energy (J mol¹), R is the universal gas constant (R = 8.3145 J mol¹¹ K¹) and U is a constant (Pa s). Ensure all your numerical answers are provided, accurate to 4 significant figures. Linearise this non-linear equation to allow the least squares fitting, i.e. write it in the form y = a + a₁x. Identify the independent (x) and dependent (y) variables and write the linearised equation in the answer boxes, clearly defining what ao and a₁ are equal to in terms of up, E and R. y: ao: a₁: X: IOHO OHO Man