Aresearch van de graaff generator has a 2.10 m diameter metal sphere with a charge of 1.06 mc on it. (a) what is the electric potential on the surface of the sphere

9.09 × 10⁶  volts

Explanation:

Given:

Diameter, d = 2.10 m

              ⇒    

Charge, q = 1.06 mC = 1.06 × 10⁻³ C

Electric potential is the amount of work done in moving a unit charge from a reference point to a specific point inside electric field without producing an acceleration.

where

V is the electric potential in volt

k is the coulomb's constant 9 × 10⁹ Nm²/C²

q is the unit charge in Coulomb

r is radius of the sphere give in meter

                          ∴  

                               V = 9.085 × 10⁶  volts

                               V = 9.09 × 10⁶  volts  

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

a displacement distance is size of displ