Aballoon containing 0.10 moles of gas has a volume of 2.00 liters. if temperature and pressure remain constant, the new volume will be 3.00 liters when you add 0.15 moles of gas to the balloon.

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Step-by-step explanation:

Knowing all the concentrations and volume  

Initial number of moles of gas n1= 0.10 moles  

Initial volume of Balloon V1= 2 Lit

Final number of moles n2 = 0.15 moles

Final volume will be V2=  ?

According to Avogadro’s law  

n1/V1 =n2/V2

V2=   n2 xV1/n1

  = 0.15 x 2/ 0.10

= 3 Lit

If temperature and pressure remain constant, the new volume will be 3 liters

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.