In this problem, we're given a voltage of 5.0 kV and a capacitance of 10 pF. We can convert these into standard SI units since kV is kilovolts or thousands of volts and pF is picofarads or trillionths of a farad. So, we have:
5.0 kV = 5.0 * 10^3 V
10 pF = 10 * 10^-12 F
We can calculate the charge stored on the capacitor using the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.
So we multiply the capacitance and the voltage to get the charge:
Q = (10 * 10^-12 F) * (5.0 * 10^3 V)
Which simplifies to Q = 5 * 10^-8 C.
So, the charge stored on the capacitor is 5 * 10^-8 Coulombs. The correct choice is then 5x10⁻⁸C.